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Finding the Fourth Proportional to 8,515.92, 12,774.24 and 2,969.82

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Solution

The fourth proportional to 8,515.92, 12,774.24 and 2,969.82 is: 4,454.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,515.92 : 12,774.24 = 2,969.82 : x
  2. Step 2: Convert to fraction form
    8,515.92/12,774.24 = 2,969.82/x
  3. Step 3: Cross multiply
    8,515.92x = 12,774.24 × 2,969.82
  4. Step 4: Simplify right side
    8,515.92x = 37,937,193.44
  5. Step 5: Solve for x
    x = 37,937,193.44/8,515.92
  6. Step 6: Final answer
    x = 4,454.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.